An observation on Classification of Lie point symmetries for quadratic Li\'{e}nard type equation $\ddot{x}+f\left(x\right) \dot{x}^{2}+g\left( x\right) =0$ [JMP 54, 053506 (2013)] and its erratum [JMP 55, 059901 (2014)]

TL;DR

This paper simplifies the classification process of Lie point symmetries for a quadratic Lie9nard type equation, making the methodology more straightforward than previous approaches.

Contribution

It presents a simplified approach to classifying Lie symmetries of quadratic Lie9nard equations, improving upon prior complex methods.

Findings

Simplified the classification process of Lie symmetries.

Identified more straightforward solution methods.

Enhanced understanding of symmetry structures in Lie9nard equations.

Abstract

We demonstrate a simplification of some recent works on the classification of the Lie symmetries for a quadratic equation of Li\'{e}nard type. We observe that the problem could have been resolved more simply.